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Warren, who is seeking his second four-year term as Newton’s mayor, picked up 4,265 votes, compared with 1,371 for Alderman Ted Hess-Mahan, 359 for Thomas Sheff, and 128 for Jacqueline M. Sequeira. Warren and Hess-Mahan will face off in November.

“I’m honored that I got such strong support from the residents of Newton,” Warren said. “I think it really reflects their confidence in the extraordinary work that we’ve done to move Newton forward. We changed the tone and tenor and came together and made the tough decisions to get our financial house in order and to invest in education, public safety, and infrastructure.”

Warren, who made history when he became Newton’s first African-American mayor four years ago, has campaigned on his record, including establishing a capital spending plan, securing voter passage of a tax increase to rebuild schools, and reaching contract settlements with all Newton’s unions.

He faced criticism during the preliminary for not being sufficiently transparent and for his decision to run for US Senate early in his term.

For more coverage of Tuesday's mayoral preliminary races around the region, Globe subscribers can go to Bostonglobe.com